Question

if a+1/a=5 then find the value of a3+1/a^3.​

Answer 1

Answer is given in the pic.

Answer 2

Answer:

The value of a^2 + (1/x^2) is 23.

Step-by-step explanation:

Given:

a + (1/a) = 5

To find:

Value of a^3 + (1/a^3) = ?

Solution:

We have,

a + (1/a) = 5

On squaring on both sides, we get

[a + (1/a)]^2 = (5)^2

• ∵ (x + y)^2 = x^2 + 2xy + y^2. Where x = a and y = 1/a , now we get

∴ [a^2 + 2(a)(1/a) + (1/a)^2] = 25

→ [a^2 + 2 + (1/a^2)] = 25

→ a^2 + (1/a^2) = 25 - 2

→ a^2 + (1/a^2) = 23

Hence, the value of a^2 + (1/x)^2 is 23.

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